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GENELLEŞTİRİLMİŞ DİFERANSİYAL QUADRATURE METODUNUN KİRİŞLERİN SERBEST TİTREŞİM ANALİZİNE UYGULANMASI

APPLICATION OF THE GENERALIZED DIFFERENTIAL QUADRATURE METHOD TO FREE VIBRATION ANALYSIS OF BEAMS

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Abstract (2. Language): 
In this paper, The Generalized Differential Quadrature is used to solve the problems on free vibration behavior of beams. Results are obtained for various boundary and loading conditions. Computed results are compared with existing exact and numerical solutions evaluated by other methods. An inherent advantage of the approach is its basic simplicity and small computational effort with easy programmability. Numerical examples have shown the efficiency and great potential of this method for the analysis of mechanical systems.
Abstract (Original Language): 
Bu çalışmada, kirişlerin serbest titreşim frekanslarının çözümü için Genelleştirilmiş Diferansiyel Quadrature (GDQ) metodu kullanılmıştır. Geniş çapta ele alınan kiriş konfigürasyonları için temel frekans değerleri elde edilmiştir. Değişik sınır şartları için elde edilen GDQ sonuçları, mevcut gerçek ve diğer metotlarla elde edilen sonuçlarla karşılaştırmalı olarak verilmiştir. Metodun temel avantajları, basitliği ve kolay programlanabilme sebebiyle hesaplama süresinin çok kısa olmasıdır. Sayısal örnekler, bu metodun mekanik sistemlerin analizi için, etkinliğini ve yüksek potansiyelini ortaya koymuştur.
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